Metrics for Statistics.Sample:$swelfordMean from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze52.0ms (0.9%)

Memory

29.0MiB live, 67.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
75%	74.9%	25%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample739.0ms (13.4%)

Memory

46.1MiB live, 1 039.0MiB allocated

Samples

487.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 196.0ms

ival-sub: 63.0ms (32.1% of total)

ival-div: 63.0ms (32.1% of total)

ival-add: 62.0ms (31.6% of total)

ival-true: 5.0ms (2.5% of total)

ival-assert: 3.0ms (1.5% of total)

Bogosity

explain95.0ms (1.7%)

Memory

-20.4MiB live, 182.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 y x)`
-	-	`(/.f64 (-.f64 y x) z)`
-	-	`y`
-	-	`(+.f64 x (/.f64 (-.f64 y x) z))`
-	-	`z`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

30.0ms

512×

valid

Compiler

Compiled 50 to 22 computations (56% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-sub: 10.0ms (61.8% of total)

ival-div: 4.0ms (24.7% of total)

ival-add: 2.0ms (12.4% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess119.0ms (2.2%)

Memory

29.0MiB live, 104.0MiB allocated

Algorithm

1×	egg-herbie

Rules

624×	`lower-fma.f64`
624×	`lower-fma.f32`
480×	`div-sub`
476×	`times-frac`
430×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	78	63
2	229	63
3	682	63
4	1689	63
5	3091	63
6	3495	63
7	3694	63
8	3817	63
9	3865	63
10	3865	63
0	6	7
0	9	7
1	15	7
2	26	7
3	45	7
4	88	7
5	158	7
6	350	7
7	636	7
8	905	7
9	986	7
10	1034	7
11	1073	7
0	1073	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 3 to 3 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))

Compiler

Compiled 10 to 6 computations (40% saved)

simplify45.0ms (0.8%)

Memory

-38.1MiB live, 83.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) z)
cost-diff	0	(+.f64 x (/.f64 (-.f64 y x) z))

Rules

624×	`lower-fma.f64`
624×	`lower-fma.f32`
256×	`lower-*.f64`
256×	`lower-*.f32`
160×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	26	18
3	45	18
4	88	18
5	158	18
6	350	18
7	636	18
8	905	18
9	986	18
10	1034	18
11	1073	18
0	1073	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
x
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
z

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
x
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
z

localize17.0ms (0.3%)

Memory

6.0MiB live, 44.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 (-.f64 y x) z)
accuracy	0	(-.f64 y x)
accuracy	0.0078125	(+.f64 x (/.f64 (-.f64 y x) z))

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (41.8% of total)

ival-sub: 1.0ms (20.9% of total)

ival-add: 1.0ms (20.9% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory

17.3MiB live, 17.3MiB allocated

Counts

3 → 96

Calls

Call 1

Inputs
#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())

Inputs

#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())

#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())

#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())

Outputs
#s(alt (/ y z) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (- x (/ x z)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt (+.f64 x (/.f64 (-.f64 y x) z)) (patch (+.f64 x (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z))) (taylor inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x (* y z)) (/ 1 z)))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x (* y z)) (/ 1 z)))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x (* y z)) (/ 1 z)))) (taylor -inf y) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x z)) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor -inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor -inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor -inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor -inf z) (#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ())

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (- y x) z)
1.0ms	y	@	-inf	(+ x (/ (- y x) z))
1.0ms	x	@	inf	(+ x (/ (- y x) z))
1.0ms	x	@	0	(+ x (/ (- y x) z))
0.0ms	z	@	0	(+ x (/ (- y x) z))

simplify196.0ms (3.6%)

Memory

-17.2MiB live, 138.2MiB allocated

Algorithm

1×	egg-herbie

Rules

6 368×	`lower-fma.f64`
6 368×	`lower-fma.f32`
2 116×	`lower-*.f64`
2 116×	`lower-*.f32`
1 680×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	562
1	198	460
2	553	460
3	1579	460
4	3533	460
5	5023	460
6	6476	460
7	6764	460
8	6866	460
9	6866	460
0	8129	457

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 91

Calls

Call 1

Inputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(* -1 (/ x z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(/ y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/ y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 (/ x z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))

Outputs
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (-.f64 (fma.f64 z x y) x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (-.f64 (fma.f64 z x y) x) z)
(/ (- (+ y (* x z)) x) z)
(/.f64 (-.f64 (fma.f64 z x y) x) z)
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)

rewrite250.0ms (4.5%)

Memory

-13.6MiB live, 378.5MiB allocated

Rules

3 808×	`lower-*.f64`
3 808×	`lower-*.f32`
3 560×	`lower-fma.f64`
3 560×	`lower-fma.f32`
2 654×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	46	15
2	408	15
3	5406	15
0	8250	15

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

3 → 338

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (/.f64 y z) (neg.f64 (-.f64 (/.f64 x z) x)))
(+.f64 (/.f64 y z) (+.f64 (/.f64 (neg.f64 x) z) x))
(+.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 (-.f64 x y) z))) (neg.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (+.f64 x (/.f64 (-.f64 x y) z)) (.f64 z z)))))
(+.f64 (+.f64 x (/.f64 y z)) (/.f64 (neg.f64 x) z))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 y x) z)))) #s(literal -1 binary64)))
(-.f64 x (/.f64 (-.f64 x y) z))
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (/.f64 (-.f64 x y) z))) (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (+.f64 x (/.f64 (-.f64 x y) z)) (.f64 z z))))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(-.f64 (/.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 z z)) (-.f64 (/.f64 (-.f64 y x) z) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (-.f64 y x) z) x)))
(fma.f64 x #s(literal 1 binary64) (/.f64 (-.f64 y x) z))
(fma.f64 x (/.f64 x (+.f64 x (/.f64 (-.f64 x y) z))) (neg.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (+.f64 x (/.f64 (-.f64 x y) z)) (*.f64 z z)))))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (-.f64 (/.f64 x z) x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) (+.f64 (/.f64 (neg.f64 x) z) x))
(fma.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (/.f64 (-.f64 y x) z) #s(literal 1 binary64) x)
(fma.f64 (-.f64 x y) (/.f64 #s(literal -1 binary64) z) x)
(fma.f64 (-.f64 x y) (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal 1 binary64)) x)
(fma.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (-.f64 x y) z))) (neg.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 (+.f64 x (/.f64 (-.f64 x y) z)) (.f64 z z)))))
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y))) z) x)
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 x (+.f64 x y) (.f64 y y))) x)
(fma.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 z (fma.f64 x (+.f64 x y) (*.f64 y y)))) x)
(fma.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (/.f64 (-.f64 y x) (.f64 z (fma.f64 x (+.f64 x y) (*.f64 y y)))) x)
(fma.f64 #s(literal 1 binary64) x (/.f64 (-.f64 y x) z))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z) x)
(fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (-.f64 (/.f64 x z) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 y z) (+.f64 (/.f64 (neg.f64 x) z) x))
(fma.f64 (/.f64 #s(literal 1 binary64) z) y (neg.f64 (-.f64 (/.f64 x z) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) y (+.f64 (/.f64 (neg.f64 x) z) x))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x) x)
(fma.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) z) x)
(fma.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (/.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)) x)
(fma.f64 (.f64 (-.f64 y x) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (.f64 z (+.f64 x y))) x)
(fma.f64 (+.f64 x y) (/.f64 (-.f64 y x) (*.f64 z (+.f64 x y))) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (/.f64 (-.f64 y x) z))
(fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 x y) z) x)
(fma.f64 (-.f64 (.f64 y z) (.f64 x z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z) (neg.f64 (-.f64 (/.f64 x z) x)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) z) (+.f64 (/.f64 (neg.f64 x) z) x))
(fma.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 x z) (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)) (.f64 (.f64 y y) (/.f64 #s(literal 1 binary64) (.f64 z z))))) x)
(fma.f64 (/.f64 #s(literal -1 binary64) z) (-.f64 x y) x)
(fma.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y)) (/.f64 (-.f64 y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) z) (+.f64 x y))) x)
(fma.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) z) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y))) x)
(fma.f64 (*.f64 (+.f64 x y) (/.f64 (-.f64 y x) z)) (/.f64 #s(literal 1 binary64) (+.f64 x y)) x)
(fma.f64 (/.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) z) (/.f64 (-.f64 y x) (fma.f64 x (+.f64 x y) (.f64 y y))) x)
(fma.f64 (/.f64 (+.f64 x y) z) (/.f64 (-.f64 y x) (+.f64 x y)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 z (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y))) x)
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(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 x (+.f64 x y) (.f64 y y))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (.f64 y y)))))
(fma.f64 (/.f64 (.f64 y y) (.f64 (-.f64 y x) (+.f64 x y))) (-.f64 y x) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x y))))
(fma.f64 (/.f64 (.f64 y y) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 x (-.f64 x y) (.f64 y y)) (neg.f64 (/.f64 (.f64 x x) (+.f64 x y))))
(fma.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 x (+.f64 x y)) (.f64 (.f64 x x) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (.f64 x (+.f64 x y)) (-.f64 (.f64 x (+.f64 x y)) (.f64 y y)) (.f64 y (.f64 y (.f64 y y)))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (.f64 y y)))))
(fma.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 (.f64 y y) (.f64 x (+.f64 x y))))) (-.f64 (.f64 y y) (.f64 x (+.f64 x y))) (neg.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(neg.f64 (-.f64 x y))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (+.f64 x y) (.f64 y y)))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x y) (.f64 y y)))))
(/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x x (-.f64 (.f64 y y) (*.f64 y (neg.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (+.f64 x y))
(/.f64 (*.f64 (-.f64 y x) (+.f64 x y)) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y)) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (neg.f64 (+.f64 x y)))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (fma.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (.f64 (+.f64 x y) (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (.f64 y (.f64 y (*.f64 y y))))))
(/.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 y x) (+.f64 x y))) (.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (.f64 x (.f64 x x)))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 x y)) (.f64 (+.f64 x y) (.f64 x x))) (*.f64 (+.f64 x y) (+.f64 x y)))
(/.f64 (neg.f64 (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y))) (fma.f64 x (+.f64 x y) (*.f64 y y)))
(/.f64 (neg.f64 (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (+.f64 x y))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (neg.f64 (+.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (fma.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (.f64 y y))) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (*.f64 y y)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 y y) (+.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (+.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y)) (fma.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (+.f64 x y)) (.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))))))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (+.f64 x y) (.f64 y y)))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (.f64 y y))))) (fma.f64 y (/.f64 (.f64 y y) (fma.f64 x (+.f64 x y) (.f64 y y))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x y) (*.f64 y y)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 y y) (+.f64 x y)) (/.f64 (.f64 y y) (+.f64 x y))) (.f64 (/.f64 (.f64 x x) (+.f64 x y)) (/.f64 (.f64 x x) (+.f64 x y)))) (fma.f64 y (/.f64 y (+.f64 x y)) (/.f64 (*.f64 x x) (+.f64 x y))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y))) (neg.f64 (fma.f64 x (+.f64 x y) (.f64 y y))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (+.f64 x y) (-.f64 x y))) (neg.f64 (+.f64 x y)))
(/.f64 (.f64 (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x (+.f64 x y) (.f64 y y))))
(/.f64 (.f64 (.f64 (+.f64 x y) (-.f64 x y)) #s(literal 1 binary64)) (neg.f64 (+.f64 x y)))
(/.f64 (.f64 (-.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y)))) (fma.f64 y (.f64 (.f64 y (.f64 y y)) (.f64 y y)) (.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y)))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))))
(/.f64 (.f64 (.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 (.f64 x x) (fma.f64 y y (.f64 x x)) (.f64 y (.f64 y (*.f64 y y)))))
(/.f64 (.f64 (.f64 (fma.f64 y y (.f64 x x)) (.f64 (-.f64 y x) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 x y))) (fma.f64 y y (*.f64 x x)))
(pow.f64 (-.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (-.f64 y x) #s(literal 1 binary64))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 x (+.f64 x y) (*.f64 y y))))
(.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y)))))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(.f64 (.f64 (-.f64 y x) (+.f64 x y)) (/.f64 #s(literal 1 binary64) (+.f64 x y)))
(.f64 (.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64)))
(*.f64 (+.f64 x y) (/.f64 (-.f64 y x) (+.f64 x y)))
(.f64 (+.f64 x y) (.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) (+.f64 x y))))
(*.f64 #s(literal -1 binary64) (-.f64 x y))
(.f64 (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x y) (.f64 y y)))))
(.f64 (.f64 (+.f64 x y) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x y))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x y) (.f64 y y))) (fma.f64 x (.f64 x x) (.f64 y (*.f64 y y))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (.f64 (-.f64 y x) (+.f64 x y)))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 x y)) (fma.f64 x (.f64 x x) (.f64 y (.f64 y y)))) (fma.f64 x (-.f64 x y) (.f64 y y)))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 x y)) (*.f64 (-.f64 y x) (+.f64 x y))) (-.f64 y x))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (fma.f64 (.f64 x (+.f64 x y)) (.f64 (.f64 x x) (.f64 (+.f64 x y) (+.f64 x y))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 (.f64 x (+.f64 x y)) (-.f64 (.f64 x (+.f64 x y)) (.f64 y y)) (.f64 y (.f64 y (*.f64 y y)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (+.f64 x y) (.f64 y y)) (-.f64 (.f64 y y) (.f64 x (+.f64 x y))))) (-.f64 (.f64 y y) (.f64 x (+.f64 x y))))

eval53.0ms (1%)

Memory: -4.1MiB live, 115.3MiB allocated
Compiler: Compiled 9 183 to 1 061 computations (88.4% saved)

prune93.0ms (1.7%)

Memory

23.1MiB live, 139.4MiB allocated

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	423	6	429
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	423	7	430

Accuracy

100.0%

Counts

430 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
▶	77.6%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
	89.4%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (fma.f64 z x y) x) z))
▶	60.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	38.4%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
▶	67.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 126 to 70 computations (44.4% saved)

simplify57.0ms (1%)

Memory

-41.5MiB live, 84.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y z)
cost-diff	0	#s(approx (/ (- y x) z) (/.f64 y z))
cost-diff	0	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
cost-diff	0	(-.f64 y x)
cost-diff	0	(/.f64 (-.f64 y x) z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
cost-diff	0	(/.f64 x z)
cost-diff	0	(-.f64 x (/.f64 x z))
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
cost-diff	0	(/.f64 y z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
cost-diff	0	(/.f64 x z)
cost-diff	0	(-.f64 (/.f64 x z) x)
cost-diff	0	(/.f64 y z)
cost-diff	704	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))

Rules

688×	`lower-fma.f64`
688×	`lower-fma.f32`
288×	`lower-*.f64`
288×	`lower-*.f32`
184×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	112
0	26	110
1	36	110
2	57	110
3	103	110
4	222	110
5	406	110
6	669	110
7	929	110
8	1253	110
9	1279	110
10	1281	110
0	1281	110

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
(/.f64 y z)
y
z
(-.f64 (/.f64 x z) x)
(/.f64 x z)
x
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
(/.f64 y z)
y
z
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
(-.f64 x (/.f64 x z))
x
(/.f64 x z)
z
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
x
z
(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
x
#s(approx (/ (- y x) z) (/.f64 y z))
(/.f64 y z)
y
z

Outputs
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
(+.f64 x (/.f64 (-.f64 y x) z))
(/.f64 y z)
y
z
(-.f64 (/.f64 x z) x)
(/.f64 x z)
x
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
(/.f64 y z)
y
z
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
(-.f64 x (/.f64 x z))
x
(/.f64 x z)
z
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)
y
x
z
(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
x
#s(approx (/ (- y x) z) (/.f64 y z))
(/.f64 y z)
y
z

localize47.0ms (0.9%)

Memory

18.4MiB live, 94.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 y z)
accuracy	0.0078125	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
accuracy	29.366931511904614	#s(approx (/ (- y x) z) (/.f64 y z))
accuracy	0	(/.f64 (-.f64 y x) z)
accuracy	0	(-.f64 y x)
accuracy	25.400477428153227	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
accuracy	0	(/.f64 x z)
accuracy	0.00390625	(-.f64 x (/.f64 x z))
accuracy	21.144551734972428	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
accuracy	0	(/.f64 y z)
accuracy	39.45467362931033	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
accuracy	0	(/.f64 y z)
accuracy	0	(/.f64 x z)
accuracy	0.00390625	(-.f64 (/.f64 x z) x)
accuracy	0.19921875000000003	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))

Samples

26.0ms

256×

valid

Compiler

Compiled 90 to 13 computations (85.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 6.0ms (43.1% of total)

ival-sub: 6.0ms (43.1% of total)

ival-add: 1.0ms (7.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series33.0ms (0.6%)

Memory

-9.1MiB live, 28.9MiB allocated

Counts

12 → 372

Calls

Call 1

Inputs
#s(alt (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (patch (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ())
#s(alt (-.f64 (/.f64 x z) x) (patch (-.f64 (/.f64 x z) x) #<representation binary64>) () ())
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (patch #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 x z)) (patch (-.f64 x (/.f64 x z)) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 y x) z) (patch (/.f64 (-.f64 y x) z) #<representation binary64>) () ())
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())
#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())
#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())

Outputs
#s(alt (- x (/ x z)) (taylor 0 y) (#s(alt (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (patch (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (patch (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (patch (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (patch (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (patch (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) (taylor inf y) (#s(alt (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (patch (-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) #<representation binary64>) () ())) ())
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#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (patch (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x z)) (taylor 0 y) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 y) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 y) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 y) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z))) (taylor inf y) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z))) (taylor inf y) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 (/ x (* y z))) (/ 1 z))) (taylor inf y) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x (* y z)) (/ 1 z)))) (taylor -inf y) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x (* y z)) (/ 1 z)))) (taylor -inf y) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (/ x (* y z)) (/ 1 z)))) (taylor -inf y) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 (/ x z)) (/ y z)) (taylor 0 x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x z)) (taylor inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (/ y (* x z)) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ x z)) (taylor -inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z)))) (taylor -inf x) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor inf z) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor -inf z) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor -inf z) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor -inf z) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor -inf z) (#s(alt #s(approx (/ (- y x) z) (/.f64 y z)) (patch #s(approx (/ (- y x) z) (/.f64 y z)) #<representation binary64>) () ())) ())

Calls

93 calls:

Time	Variable		Point	Expression
0.0ms	z	@	-inf	(- (/ y z) (- (/ x z) x))
0.0ms	y	@	-inf	(/ y z)
0.0ms	z	@	inf	(- (/ y z) (- (/ x z) x))
0.0ms	x	@	inf	(- (/ x z) x)
0.0ms	y	@	inf	(/ y z)

simplify169.0ms (3.1%)

Memory

17.8MiB live, 255.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 342×	`lower-fma.f64`
6 342×	`lower-fma.f32`
2 518×	`lower-*.f64`
2 518×	`lower-*.f32`
1 396×	`unsub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	88	1914
1	253	1872
2	662	1872
3	2112	1872
4	5087	1872
5	6901	1872
0	8022	1872

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 357

Calls

Call 1

Inputs
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(/ y z)
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* x (- (/ 1 z) 1))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(* -1 (* x (- 1 (/ 1 z))))
(/ x z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(/ (+ x (* -1 (* x z))) z)
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(* -1 x)
(- (/ x z) x)
(- (/ x z) x)
(- (/ x z) x)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ x z)
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* x (- 1 (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (/ x z))
(/ (- (* x z) x) z)
(/ (- (* x z) x) z)
(/ (- (* x z) x) z)
x
(+ x (* -1 (/ x z)))
(+ x (* -1 (/ x z)))
(+ x (* -1 (/ x z)))
x
(+ x (* -1 (/ x z)))
(+ x (* -1 (/ x z)))
(+ x (* -1 (/ x z)))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(* -1 (/ x z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(/ y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/ y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 (/ x z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(* -1 (/ x z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(/ y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/ y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 (/ x z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)

Outputs
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ x (* -1 (/ (- (* -1 y) (* -1 x)) z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(/ y z)
(/.f64 y z)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* x (- (/ 1 z) 1))
(-.f64 (/.f64 x z) x)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(* -1 (* x (- 1 (/ 1 z))))
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(/ (+ x (* -1 (* x z))) z)
(-.f64 (/.f64 x z) x)
(* -1 x)
(neg.f64 x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(* -1 x)
(neg.f64 x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(- (/ x z) x)
(-.f64 (/.f64 x z) x)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ x z)
(/.f64 x z)
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(/ (- (* x z) x) z)
(-.f64 x (/.f64 x z))
(/ (- (* x z) x) z)
(-.f64 x (/.f64 x z))
(/ (- (* x z) x) z)
(-.f64 x (/.f64 x z))
x
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))
x
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))
(+ x (* -1 (/ x z)))
(-.f64 x (/.f64 x z))
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(/.f64 (neg.f64 x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)

rewrite260.0ms (4.7%)

Memory

11.4MiB live, 456.2MiB allocated

Rules

4 938×	`lower-*.f64`
4 938×	`lower-*.f32`
4 804×	`lower-/.f32`
4 798×	`lower-/.f64`
2 656×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	90
0	26	88
1	116	88
2	1134	88
0	8146	88

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

12 → 484

Calls

Call 1

Inputs
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
(/.f64 y z)
(-.f64 (/.f64 x z) x)
(/.f64 x z)
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
(-.f64 x (/.f64 x z))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(/.f64 (-.f64 y x) z)
(-.f64 y x)
(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
#s(approx (/ (- y x) z) (/.f64 y z))

Outputs
(+.f64 (/.f64 y z) (neg.f64 (-.f64 (/.f64 x z) x)))
(+.f64 x (/.f64 (-.f64 y x) z))
(+.f64 (/.f64 (-.f64 y x) z) x)
(+.f64 (neg.f64 (-.f64 (/.f64 x z) x)) (/.f64 y z))
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
(-.f64 (/.f64 (-.f64 y x) z) (neg.f64 x))
(-.f64 (/.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (/.f64 (.f64 y y) (.f64 z z)))) (/.f64 (.f64 (-.f64 (/.f64 x z) x) (.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x))) (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (/.f64 (.f64 y y) (.f64 z z)))))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (/.f64 (-.f64 y x) z))) (/.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 z z)) (-.f64 x (/.f64 (-.f64 y x) z))))
(-.f64 (/.f64 (/.f64 (.f64 y y) (.f64 z z)) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))) (/.f64 (*.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x)) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))))
(-.f64 (+.f64 x (/.f64 y z)) (/.f64 x z))
(fma.f64 y (/.f64 #s(literal 1 binary64) z) (neg.f64 (-.f64 (/.f64 x z) x)))
(fma.f64 (-.f64 y x) (/.f64 #s(literal 1 binary64) z) x)
(fma.f64 (neg.f64 (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 z)) x)
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z)) (neg.f64 (-.f64 (/.f64 x z) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 y z) (neg.f64 (-.f64 (/.f64 x z) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) z) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) y (neg.f64 (-.f64 (/.f64 x z) x)))
(fma.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 y x) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (-.f64 (/.f64 x z) x)))
(fma.f64 #s(literal -1 binary64) (-.f64 (/.f64 x z) x) (/.f64 y z))
(fma.f64 (pow.f64 (/.f64 z (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 x (+.f64 y x)))) x)
(fma.f64 (pow.f64 (/.f64 z (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y x)) x)
(/.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 z (.f64 z z)))) (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (.f64 x x)))
(/.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 z (.f64 z z)))) (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 z z)) (-.f64 (.f64 x x) (/.f64 (*.f64 x (-.f64 y x)) z))))
(/.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 (-.f64 (/.f64 x z) x) (.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x)))) (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (/.f64 (.f64 y y) (.f64 z z))))
(/.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 (-.f64 (/.f64 x z) x) (.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x)))) (+.f64 (/.f64 (.f64 y y) (.f64 z z)) (-.f64 (.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x)) (.f64 (/.f64 y z) (neg.f64 (-.f64 (/.f64 x z) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (.f64 x x)) (fma.f64 x (.f64 x x) (/.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 z (.f64 z z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (/.f64 (.f64 y y) (.f64 z z))) (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 (-.f64 (/.f64 x z) x) (.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (.f64 x x) (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 z z)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (*.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (+.f64 x (/.f64 (-.f64 y x) z)))))
(/.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 z z))) (-.f64 x (/.f64 (-.f64 y x) z)))
(/.f64 (*.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (+.f64 x (/.f64 (-.f64 y x) z))) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)))
(/.f64 (*.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (+.f64 x (/.f64 (-.f64 y x) z))) (-.f64 (/.f64 y z) (neg.f64 (-.f64 (/.f64 x z) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (.f64 x x)) (fma.f64 x (.f64 x x) (/.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 z (.f64 z z)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (/.f64 (.f64 y y) (.f64 z z))) (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 (-.f64 (/.f64 x z) x) (.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x (/.f64 (-.f64 y x) z)) (-.f64 (.f64 x x) (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 z z))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (*.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (+.f64 x (/.f64 (-.f64 y x) z))))))
(/.f64 (-.f64 (.f64 y (fma.f64 x (+.f64 x (/.f64 x z)) (/.f64 (.f64 x x) (.f64 z z)))) (.f64 z (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))))) (.f64 z (fma.f64 x (+.f64 x (/.f64 x z)) (/.f64 (.f64 x x) (*.f64 z z)))))
(/.f64 (-.f64 (.f64 y (+.f64 x (/.f64 x z))) (.f64 z (-.f64 (/.f64 (.f64 x x) (.f64 z z)) (.f64 x x)))) (.f64 z (+.f64 x (/.f64 x z))))
(/.f64 (-.f64 (.f64 (neg.f64 y) (fma.f64 x (+.f64 x (/.f64 x z)) (/.f64 (.f64 x x) (.f64 z z)))) (.f64 (neg.f64 z) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))))) (.f64 (neg.f64 z) (fma.f64 x (+.f64 x (/.f64 x z)) (/.f64 (.f64 x x) (*.f64 z z)))))
(/.f64 (-.f64 (.f64 (neg.f64 y) (+.f64 x (/.f64 x z))) (.f64 (neg.f64 z) (-.f64 (/.f64 (.f64 x x) (.f64 z z)) (.f64 x x)))) (.f64 (neg.f64 z) (+.f64 x (/.f64 x z))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x (/.f64 x z)) (/.f64 (.f64 x x) (.f64 z z)))) (.f64 (/.f64 z y) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))))) (.f64 (/.f64 z y) (fma.f64 x (+.f64 x (/.f64 x z)) (/.f64 (.f64 x x) (*.f64 z z)))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 x (/.f64 x z))) (.f64 (/.f64 z y) (-.f64 (/.f64 (.f64 x x) (.f64 z z)) (.f64 x x)))) (.f64 (/.f64 z y) (+.f64 x (/.f64 x z))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 z (.f64 z z))))) (neg.f64 (fma.f64 (/.f64 (-.f64 y x) z) (-.f64 (/.f64 (-.f64 y x) z) x) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (/.f64 (.f64 (-.f64 y x) (.f64 (-.f64 y x) (-.f64 y x))) (.f64 z (.f64 z z))))) (neg.f64 (+.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 z z)) (-.f64 (.f64 x x) (/.f64 (*.f64 x (-.f64 y x)) z)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 (-.f64 (/.f64 x z) x) (.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x))))) (neg.f64 (fma.f64 (-.f64 (/.f64 x z) x) (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (/.f64 (.f64 y y) (.f64 z z)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 z (.f64 z z))) (.f64 (-.f64 (/.f64 x z) x) (.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x))))) (neg.f64 (+.f64 (/.f64 (.f64 y y) (.f64 z z)) (-.f64 (.f64 (-.f64 (/.f64 x z) x) (-.f64 (/.f64 x z) x)) (.f64 (/.f64 y z) (neg.f64 (-.f64 (/.f64 x z) x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (*.f64 z z)))) (neg.f64 (-.f64 x (/.f64 (-.f64 y x) z))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (+.f64 x (/.f64 (-.f64 y x) z)))) (neg.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 y z) (-.f64 (/.f64 x z) x)) (+.f64 x (/.f64 (-.f64 y x) z)))) (neg.f64 (-.f64 (/.f64 y z) (neg.f64 (-.f64 (/.f64 x z) x)))))
(/.f64 (-.f64 (/.f64 (.f64 (-.f64 y x) (-.f64 y x)) (.f64 z z)) (*.f64 x x)) (-.f64 (/.f64 (-.f64 y x) z) x))
(/.f64 (fma.f64 y (neg.f64 (fma.f64 x (+.f64 x (/.f64 x z)) (/.f64 (.f64 x x) (.f64 z z)))) (.f64 z (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))))) (.f64 z (neg.f64 (fma.f64 x (+.f64 x (/.f64 x z)) (/.f64 (.f64 x x) (.f64 z z))))))
(/.f64 (fma.f64 y (neg.f64 (+.f64 x (/.f64 x z))) (.f64 z (-.f64 (/.f64 (.f64 x x) (.f64 z z)) (.f64 x x)))) (*.f64 z (neg.f64 (+.f64 x (/.f64 x z)))))
(/.f64 (fma.f64 y (fma.f64 x (+.f64 x (/.f64 x z)) (/.f64 (.f64 x x) (.f64 z z))) (.f64 z (neg.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))))) (.f64 z (fma.f64 x (+.f64 x (/.f64 x z)) (/.f64 (.f64 x x) (.f64 z z)))))
(/.f64 (fma.f64 y (+.f64 x (/.f64 x z)) (.f64 z (neg.f64 (-.f64 (/.f64 (.f64 x x) (.f64 z z)) (.f64 x x))))) (*.f64 z (+.f64 x (/.f64 x z))))
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 (fma.f64 x (+.f64 x (/.f64 x z)) (/.f64 (.f64 x x) (.f64 z z)))) (.f64 (neg.f64 z) (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x))))) (.f64 (neg.f64 z) (neg.f64 (fma.f64 x (+.f64 x (/.f64 x z)) (/.f64 (.f64 x x) (.f64 z z))))))
(/.f64 (fma.f64 (neg.f64 y) (neg.f64 (+.f64 x (/.f64 x z))) (.f64 (neg.f64 z) (-.f64 (/.f64 (.f64 x x) (.f64 z z)) (.f64 x x)))) (*.f64 (neg.f64 z) (neg.f64 (+.f64 x (/.f64 x z)))))
(/.f64 (fma.f64 (neg.f64 y) (fma.f64 x (+.f64 x (/.f64 x z)) (/.f64 (.f64 x x) (.f64 z z))) (.f64 (neg.f64 z) (neg.f64 (-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 z (.f64 z z))) (.f64 x (.f64 x x)))))) (.f64 (neg.f64 z) (fma.f64 x (+.f64 x (/.f64 x z)) (/.f64 (.f64 x x) (.f64 z z)))))
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(/.f64 (-.f64 (.f64 (.f64 y y) (+.f64 y x)) (.f64 (+.f64 y x) (.f64 x x))) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (neg.f64 (+.f64 y x))))
(pow.f64 (/.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (-.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64))
(.f64 (.f64 (fma.f64 y y (.f64 x (+.f64 y x))) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 x (+.f64 y x)))))
(.f64 (.f64 (+.f64 y x) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
(+.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x)
(-.f64 (/.f64 (.f64 x x) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) (/.f64 (.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(approx (/ (- y x) z) (/.f64 y z))) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))
(/.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(approx (/ (- y x) z) (/.f64 y z))) (.f64 x (.f64 x x))) (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (.f64 x x)))
(/.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(approx (/ (- y x) z) (/.f64 y z))) (.f64 x (.f64 x x))) (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(approx (/ (- y x) z) (/.f64 y z)) (-.f64 (.f64 x x) (*.f64 x #s(approx (/ (- y x) z) (/.f64 y z))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (.f64 x x)) (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(approx (/ (- y x) z) (/.f64 y z))) (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (*.f64 (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))))))
(/.f64 (*.f64 (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (.f64 x x)) (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(approx (/ (- y x) z) (/.f64 y z))) (.f64 x (.f64 x x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (*.f64 (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))))
(/.f64 (neg.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(approx (/ (- y x) z) (/.f64 y z))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(approx (/ (- y x) z) (/.f64 y z))) (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(approx (/ (- y x) z) (/.f64 y z)) (-.f64 (.f64 x x) (*.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))))
(/.f64 (neg.f64 (*.f64 (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))))) (neg.f64 (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))
(/.f64 (-.f64 (.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(approx (/ (- y x) z) (/.f64 y z))) (.f64 x x)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) (.f64 (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(approx (/ (- y x) z) (/.f64 y z))))) (*.f64 (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(approx (/ (- y x) z) (/.f64 y z))) (.f64 x (.f64 x x))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))) (neg.f64 (neg.f64 (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(approx (/ (- y x) z) (/.f64 y z))) (.f64 x x))) (neg.f64 (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x)))
(pow.f64 (/.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (.f64 x x)) (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(approx (/ (- y x) z) (/.f64 y z))) (.f64 x (.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (*.f64 (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z))))) #s(literal -1 binary64))
(.f64 (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (.f64 #s(approx (/ (- y x) z) (/.f64 y z)) #s(approx (/ (- y x) z) (/.f64 y z))) (.f64 x (.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (- y x) z) (/.f64 y z)) (-.f64 #s(approx (/ (- y x) z) (/.f64 y z)) x) (*.f64 x x))))
(.f64 (.f64 (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))
#s(approx (/ (- y x) z) (/.f64 y z))

eval153.0ms (2.8%)

Memory: 5.1MiB live, 160.4MiB allocated
Compiler: Compiled 17 370 to 1 455 computations (91.6% saved)

prune178.0ms (3.2%)

Memory

0.8MiB live, 117.0MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	974	1	975
Fresh	0	1	1
Picked	0	5	5
Done	0	1	1
Total	974	8	982

Accuracy

100.0%

Counts

982 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	77.6%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
▶	89.4%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (fma.f64 z x y) x) z))
✓	60.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
▶	27.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	38.4%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	67.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 77 to 43 computations (44.2% saved)

simplify196.0ms (3.6%)

Memory

-5.5MiB live, 78.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 z x y)
cost-diff	0	(-.f64 (fma.f64 z x y) x)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (fma.f64 z x y) x) z))
cost-diff	192	(/.f64 (-.f64 (fma.f64 z x y) x) z)
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- y x) (neg.f64 x))
cost-diff	0	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))

Rules

4 840×	`lower-fma.f32`
4 838×	`lower-fma.f64`
2 256×	`lower-*.f64`
2 256×	`lower-*.f32`
1 384×	`lower-/.f32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	14	71
0	20	70
1	35	70
2	55	70
3	97	70
4	180	70
5	323	70
6	744	69
7	1424	69
8	2459	69
9	3444	69
10	4115	69
11	4358	69
12	4439	69
13	4455	69
14	5361	69
15	6815	69
0	8018	69

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
(/.f64 #s(approx (- y x) (neg.f64 x)) z)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
z
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (fma.f64 z x y) x) z))
(/.f64 (-.f64 (fma.f64 z x y) x) z)
(-.f64 (fma.f64 z x y) x)
(fma.f64 z x y)
z
x
y

Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
(/.f64 #s(approx (- y x) (neg.f64 x)) z)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
x
z
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (fma.f64 z x y) x) z))
#s(approx (+ x (/ (- y x) z)) (+.f64 x (/.f64 (-.f64 y x) z)))
(/.f64 (-.f64 (fma.f64 z x y) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(-.f64 (fma.f64 z x y) x)
(fma.f64 x (+.f64 z #s(literal -1 binary64)) y)
(fma.f64 z x y)
(fma.f64 x z y)
z
x
y

localize60.0ms (1.1%)

Memory

-12.2MiB live, 26.8MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 z x y)
accuracy	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (fma.f64 z x y) x) z))
accuracy	0.01171875	(-.f64 (fma.f64 z x y) x)
accuracy	6.790620910892308	(/.f64 (-.f64 (fma.f64 z x y) x) z)
accuracy	0	(/.f64 #s(approx (- y x) (neg.f64 x)) z)
accuracy	0	(neg.f64 x)
accuracy	25.400477428153227	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
accuracy	32.2038766127794	#s(approx (- y x) (neg.f64 x))

Samples

20.0ms

256×

valid

Compiler

Compiled 52 to 13 computations (75% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 3.0ms (27.6% of total)

ival-sub: 2.0ms (18.4% of total)

ival-add: 2.0ms (18.4% of total)

ival-mult: 2.0ms (18.4% of total)

ival-neg: 1.0ms (9.2% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

8 → 252

Calls

Call 1

Inputs
#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- y x) (neg.f64 x)) z) (patch (/.f64 #s(approx (- y x) (neg.f64 x)) z) #<representation binary64>) () ())
#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (fma.f64 z x y) x) z) (patch (/.f64 (-.f64 (fma.f64 z x y) x) z) #<representation binary64>) () ())
#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (fma.f64 z x y) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (fma.f64 z x y) x) z)) #<representation binary64>) () ())
#s(alt (-.f64 (fma.f64 z x y) x) (patch (-.f64 (fma.f64 z x y) x) #<representation binary64>) () ())
#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())

Outputs
#s(alt (/ y z) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 z))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (- x (/ x z)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #<representation binary64>) () ())) ())
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#s(alt (* y (- (+ 1 (/ (* x z) y)) (/ x y))) (taylor inf y) (#s(alt (-.f64 (fma.f64 z x y) x) (patch (-.f64 (fma.f64 z x y) x) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ 1 (/ (* x z) y)) (/ x y))) (taylor inf y) (#s(alt (-.f64 (fma.f64 z x y) x) (patch (-.f64 (fma.f64 z x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (-.f64 (fma.f64 z x y) x) (patch (-.f64 (fma.f64 z x y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1))) (taylor -inf y) (#s(alt (-.f64 (fma.f64 z x y) x) (patch (-.f64 (fma.f64 z x y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1))) (taylor -inf y) (#s(alt (-.f64 (fma.f64 z x y) x) (patch (-.f64 (fma.f64 z x y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1))) (taylor -inf y) (#s(alt (-.f64 (fma.f64 z x y) x) (patch (-.f64 (fma.f64 z x y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 z) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x z)) (taylor 0 z) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x z)) (taylor 0 z) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x z)) (taylor 0 z) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf z) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ y z))) (taylor inf z) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ y z))) (taylor inf z) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* z (+ x (/ y z))) (taylor inf z) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf z) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) (taylor -inf z) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) (taylor -inf z) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* z (+ (* -1 x) (* -1 (/ y z))))) (taylor -inf z) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 x) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x z)) (taylor 0 x) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x z)) (taylor 0 x) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x z)) (taylor 0 x) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor inf x) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (/ y x))) (taylor inf x) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (/ y x))) (taylor inf x) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* x (+ z (/ y x))) (taylor inf x) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor -inf x) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 z) (* -1 (/ y x))))) (taylor -inf x) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* x z) (taylor 0 y) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x z)) (taylor 0 y) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x z)) (taylor 0 y) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (+ y (* x z)) (taylor 0 y) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt y (taylor inf y) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ (* x z) y))) (taylor inf y) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ (* x z) y))) (taylor inf y) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (/ (* x z) y))) (taylor inf y) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt y (taylor -inf y) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1))) (taylor -inf y) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1))) (taylor -inf y) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1))) (taylor -inf y) (#s(alt (fma.f64 z x y) (patch (fma.f64 z x y) #<representation binary64>) () ())) ())

Calls

63 calls:

Time	Variable		Point	Expression
1.0ms	z	@	inf	(/ (- (+ (* z x) y) x) z)
1.0ms	z	@	-inf	(/ (- (+ (* z x) y) x) z)
0.0ms	x	@	-inf	(/ (- (+ (* z x) y) x) z)
0.0ms	x	@	inf	(/ (- (+ (* z x) y) x) z)
0.0ms	y	@	0	(/ (- (+ (* z x) y) x) z)

simplify224.0ms (4.1%)

Memory

-32.4MiB live, 102.8MiB allocated

Algorithm

1×	egg-herbie

Rules

6 830×	`lower-fma.f64`
6 830×	`lower-fma.f32`
2 406×	`lower-*.f64`
2 406×	`lower-*.f32`
1 606×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	1630
1	391	1288
2	1105	1288
3	3129	1288
4	5954	1288
0	8152	1234

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 236

Calls

Call 1

Inputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(* -1 (/ x z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(/ y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/ y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/ y z)
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(+ (* -1 (/ x z)) (/ y z))
(* -1 (/ x z))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* x (- (/ y (* x z)) (/ 1 z)))
(* -1 (/ x z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(/ (- y x) z)
(* -1 x)
(- y x)
(- y x)
(- y x)
y
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
y
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
(* -1 (* y (- (/ x y) 1)))
y
(+ y (* -1 x))
(+ y (* -1 x))
(+ y (* -1 x))
(* -1 x)
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* x (- (/ y x) 1))
(* -1 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(/ (* x (- z 1)) z)
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (/ (* x (+ 1 (* -1 z))) z))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(/ (- (* x z) x) z)
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- y x)
(- (+ y (* x z)) x)
(- (+ y (* x z)) x)
(- (+ y (* x z)) x)
(* x z)
(* z (- (+ x (/ y z)) (/ x z)))
(* z (- (+ x (/ y z)) (/ x z)))
(* z (- (+ x (/ y z)) (/ x z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
y
(+ y (* x (- z 1)))
(+ y (* x (- z 1)))
(+ y (* x (- z 1)))
(* x (- z 1))
(* x (- (+ z (/ y x)) 1))
(* x (- (+ z (/ y x)) 1))
(* x (- (+ z (/ y x)) 1))
(* -1 (* x (+ 1 (* -1 z))))
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(- (* x z) x)
(- (+ y (* x z)) x)
(- (+ y (* x z)) x)
(- (+ y (* x z)) x)
y
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
y
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
y
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
(* x z)
(* z (+ x (/ y z)))
(* z (+ x (/ y z)))
(* z (+ x (/ y z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
y
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
(* x z)
(* x (+ z (/ y x)))
(* x (+ z (/ y x)))
(* x (+ z (/ y x)))
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(* x z)
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
y
(* y (+ 1 (/ (* x z) y)))
(* y (+ 1 (/ (* x z) y)))
(* y (+ 1 (/ (* x z) y)))
y
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))

Outputs
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* y (+ (* -1 (/ x (* y z))) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x (* y z)) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ y z)
(/.f64 y z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(+ (* -1 (/ x z)) (/ y z))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* x (- (/ y (* x z)) (/ 1 z)))
(/.f64 (-.f64 y x) z)
(* -1 (/ x z))
(/.f64 x (neg.f64 z))
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(* -1 (* x (+ (* -1 (/ y (* x z))) (/ 1 z))))
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(* -1 x)
(neg.f64 x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
(- y x)
(-.f64 y x)
y
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
y
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
y
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(+ y (* -1 x))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (* x (- z 1)) z)
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (/ (* x (+ 1 (* -1 z))) z))
(-.f64 x (/.f64 x z))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (* x z) x) z)
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- y x)
(-.f64 y x)
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
(* x z)
(*.f64 z x)
(* z (- (+ x (/ y z)) (/ x z)))
(fma.f64 z x (-.f64 y x))
(* z (- (+ x (/ y z)) (/ x z)))
(fma.f64 z x (-.f64 y x))
(* z (- (+ x (/ y z)) (/ x z)))
(fma.f64 z x (-.f64 y x))
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(fma.f64 z x (-.f64 y x))
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(fma.f64 z x (-.f64 y x))
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(fma.f64 z x (-.f64 y x))
y
(+ y (* x (- z 1)))
(fma.f64 z x (-.f64 y x))
(+ y (* x (- z 1)))
(fma.f64 z x (-.f64 y x))
(+ y (* x (- z 1)))
(fma.f64 z x (-.f64 y x))
(* x (- z 1))
(-.f64 (*.f64 z x) x)
(* x (- (+ z (/ y x)) 1))
(fma.f64 z x (-.f64 y x))
(* x (- (+ z (/ y x)) 1))
(fma.f64 z x (-.f64 y x))
(* x (- (+ z (/ y x)) 1))
(fma.f64 z x (-.f64 y x))
(* -1 (* x (+ 1 (* -1 z))))
(-.f64 (*.f64 z x) x)
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 z x (-.f64 y x))
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 z x (-.f64 y x))
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(fma.f64 z x (-.f64 y x))
(- (* x z) x)
(-.f64 (*.f64 z x) x)
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
(- (+ y (* x z)) x)
(fma.f64 z x (-.f64 y x))
y
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(fma.f64 z x (-.f64 y x))
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(fma.f64 z x (-.f64 y x))
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(fma.f64 z x (-.f64 y x))
y
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(fma.f64 z x (-.f64 y x))
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(fma.f64 z x (-.f64 y x))
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(fma.f64 z x (-.f64 y x))
y
(+ y (* x z))
(fma.f64 z x y)
(+ y (* x z))
(fma.f64 z x y)
(+ y (* x z))
(fma.f64 z x y)
(* x z)
(*.f64 z x)
(* z (+ x (/ y z)))
(fma.f64 z x y)
(* z (+ x (/ y z)))
(fma.f64 z x y)
(* z (+ x (/ y z)))
(fma.f64 z x y)
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 z x y)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 z x y)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 z x y)
y
(+ y (* x z))
(fma.f64 z x y)
(+ y (* x z))
(fma.f64 z x y)
(+ y (* x z))
(fma.f64 z x y)
(* x z)
(*.f64 z x)
(* x (+ z (/ y x)))
(fma.f64 z x y)
(* x (+ z (/ y x)))
(fma.f64 z x y)
(* x (+ z (/ y x)))
(fma.f64 z x y)
(* x z)
(*.f64 z x)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 z x y)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 z x y)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 z x y)
(* x z)
(*.f64 z x)
(+ y (* x z))
(fma.f64 z x y)
(+ y (* x z))
(fma.f64 z x y)
(+ y (* x z))
(fma.f64 z x y)
y
(* y (+ 1 (/ (* x z) y)))
(fma.f64 z x y)
(* y (+ 1 (/ (* x z) y)))
(fma.f64 z x y)
(* y (+ 1 (/ (* x z) y)))
(fma.f64 z x y)
y
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 z x y)
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 z x y)
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 z x y)

rewrite484.0ms (8.8%)

Memory

16.3MiB live, 244.8MiB allocated

Rules

8 662×	`lower-fma.f32`
8 660×	`lower-fma.f64`
5 402×	`lower-*.f64`
5 402×	`lower-*.f32`
4 432×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	66
0	20	66
1	96	66
2	815	66
0	9132	66

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

8 → 438

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
(/.f64 #s(approx (- y x) (neg.f64 x)) z)
#s(approx (- y x) (neg.f64 x))
(neg.f64 x)
(/.f64 (-.f64 (fma.f64 z x y) x) z)
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (fma.f64 z x y) x) z))
(-.f64 (fma.f64 z x y) x)
(fma.f64 z x y)

Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (- y x) (neg.f64 x)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 z)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 z)))
(neg.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 z)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 z))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 z #s(approx (- y x) (neg.f64 x)))))
(/.f64 #s(approx (- y x) (neg.f64 x)) z)
(/.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (- y x) (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 z) #s(approx (- y x) (neg.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x)))) (neg.f64 z))
(/.f64 (*.f64 #s(approx (- y x) (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 z))
(/.f64 (*.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) #s(literal 1 binary64)) (neg.f64 z))
(pow.f64 (/.f64 z #s(approx (- y x) (neg.f64 x))) #s(literal -1 binary64))
(*.f64 #s(approx (- y x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))) (/.f64 #s(literal -1 binary64) z))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (- y x) (neg.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- y x) (neg.f64 x))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (- y x) (neg.f64 x)) (neg.f64 z)))
(*.f64 (pow.f64 (/.f64 z #s(approx (- y x) (neg.f64 x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 z #s(approx (- y x) (neg.f64 x))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x)))) (/.f64 #s(literal -1 binary64) z))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x))))
(neg.f64 (neg.f64 #s(approx (- y x) (neg.f64 x))))
#s(approx (- y x) (neg.f64 x))
(*.f64 #s(approx (- y x) (neg.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (- y x) (neg.f64 x)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- y x) (neg.f64 x))))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(neg.f64 x)
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 (.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (neg.f64 x))))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 x (.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (*.f64 x (neg.f64 x)) x)
(/.f64 (neg.f64 (neg.f64 (.f64 x (.f64 x x)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)
(.f64 (neg.f64 (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(.f64 (.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 (-.f64 y x) z) (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x z)))
(+.f64 (/.f64 (-.f64 y x) z) (.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 y z) (.f64 (-.f64 (.f64 x z) x) (/.f64 #s(literal 1 binary64) z)))
(+.f64 (/.f64 (fma.f64 x z y) z) (/.f64 x (neg.f64 z)))
(+.f64 (/.f64 (fma.f64 x z y) z) (*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 z))))
(+.f64 (/.f64 x (neg.f64 z)) (/.f64 (fma.f64 x z y) z))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) z) y) (.f64 (/.f64 #s(literal 1 binary64) z) (-.f64 (*.f64 x z) x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 x z y)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (.f64 x z)) (/.f64 (-.f64 y x) z))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (fma.f64 x z y)) (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)))
(+.f64 (.f64 (/.f64 (fma.f64 x z y) z) #s(literal 1 binary64)) (.f64 (/.f64 x (neg.f64 z)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x z) (/.f64 #s(literal 1 binary64) z)) (/.f64 (-.f64 y x) z))
(exp.f64 (*.f64 (log.f64 (/.f64 z (-.f64 (fma.f64 x z y) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (fma.f64 x z y) z) (/.f64 x z))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x (fma.f64 x z y)) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (-.f64 x (fma.f64 x z y)) z))
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eval99.0ms (1.8%)

Memory: 12.5MiB live, 99.3MiB allocated
Compiler: Compiled 14 070 to 1 255 computations (91.1% saved)

prune144.0ms (2.6%)

Memory

-23.9MiB live, 175.7MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	673	1	674
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	674	8	682

Accuracy

100.0%

Counts

682 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	77.6%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
▶	56.4%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x) z))
✓	60.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	27.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	38.4%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	67.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 77 to 43 computations (44.2% saved)

simplify59.0ms (1.1%)

Memory

-14.1MiB live, 75.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* z x) y) (*.f64 z x))
cost-diff	0	(-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x)
cost-diff	0	(/.f64 (-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x) z)
cost-diff	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x) z))

Rules

912×	`lower-fma.f64`
912×	`lower-fma.f32`
400×	`lower-*.f32`
398×	`lower-*.f64`
260×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	59
0	16	59
1	27	59
2	40	59
3	64	59
4	122	59
5	219	59
6	481	59
7	872	59
8	1345	59
9	1460	59
10	1520	59
11	1562	59
0	1562	55

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x) z))
(/.f64 (-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x) z)
(-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x)
#s(approx (+ (* z x) y) (*.f64 z x))
(*.f64 z x)
z
x

Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x) z))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (*.f64 x z)) x) z))
(/.f64 (-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x) z)
(/.f64 (-.f64 #s(approx (+ (* z x) y) (*.f64 x z)) x) z)
(-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x)
(-.f64 #s(approx (+ (* z x) y) (*.f64 x z)) x)
#s(approx (+ (* z x) y) (*.f64 z x))
#s(approx (+ (* z x) y) (*.f64 x z))
(*.f64 z x)
(*.f64 x z)
z
x

localize31.0ms (0.6%)

Memory

7.9MiB live, 47.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x) z))
accuracy	0.01171875	(-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x)
accuracy	6.790620910892308	(/.f64 (-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x) z)
accuracy	28.701165990894513	#s(approx (+ (* z x) y) (*.f64 z x))

Samples

23.0ms

256×

valid

Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-sub: 8.0ms (53.3% of total)

ival-div: 3.0ms (20% of total)

ival-add: 2.0ms (13.3% of total)

ival-mult: 2.0ms (13.3% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory

11.3MiB live, 11.2MiB allocated

Counts

4 → 144

Calls

Call 1

Inputs
#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())
#s(alt (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) (patch (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* z x) y) (.f64 z x)) (patch #s(approx (+ ( z x) y) (*.f64 z x)) #<representation binary64>) () ())

Outputs
#s(alt (/ y z) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (/ 1 z))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (* x (- (+ 1 (/ y (* x z))) (/ 1 z))) (taylor inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (/ 1 z) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (- x (/ x z)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor 0 y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z)))) (taylor inf y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z)))) (taylor -inf y) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z)) (patch #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z)) #<representation binary64>) () ())) ())
#s(alt (/ (- y x) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ y (* x z)) x) z) (taylor 0 z) (#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())) ())
#s(alt x (taylor inf z) (#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor inf z) (#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf z) (#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())) ())
#s(alt (- (+ x (/ y z)) (/ x z)) (taylor -inf z) (#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())) ())
#s(alt (/ y z) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())) ())
#s(alt (+ (* x (- 1 (/ 1 z))) (/ y z)) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- z 1)) z) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 z x)) x) z) (patch (/.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 z x)) x) z) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* y (- (* -1 (/ (* x z) y)) 1))) (taylor -inf y) (#s(alt #s(approx (+ (* z x) y) (.f64 z x)) (patch #s(approx (+ ( z x) y) (*.f64 z x)) #<representation binary64>) () ())) ())

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+ x (/ (- y x) z))
0.0ms	y	@	-inf	(+ x (/ (- y x) z))
0.0ms	x	@	-inf	(+ x (/ (- y x) z))
0.0ms	x	@	inf	(+ x (/ (- y x) z))
0.0ms	x	@	-inf	(/ (- (+ (* z x) y) x) z)

simplify198.0ms (3.6%)

Memory

0.6MiB live, 195.5MiB allocated

Algorithm

1×	egg-herbie

Rules

8 246×	`lower-fma.f64`
8 246×	`lower-fma.f32`
2 764×	`lower-*.f64`
2 764×	`lower-*.f32`
1 220×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	1038
1	320	810
2	897	810
3	2815	810
4	5555	810
0	8275	756

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 133

Calls

Call 1

Inputs
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(* x (- 1 (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (* x (- (/ 1 z) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(- x (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ (- y x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
(/ (- (+ y (* x z)) x) z)
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
x
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(/ (* x (- z 1)) z)
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(* -1 (/ (* x (+ 1 (* -1 z))) z))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(/ (- (* x z) x) z)
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(- (+ x (/ y z)) (/ x z))
(/ y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(/ y z)
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(- y x)
(- (+ y (* x z)) x)
(- (+ y (* x z)) x)
(- (+ y (* x z)) x)
(* x z)
(* z (- (+ x (/ y z)) (/ x z)))
(* z (- (+ x (/ y z)) (/ x z)))
(* z (- (+ x (/ y z)) (/ x z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
y
(+ y (* x (- z 1)))
(+ y (* x (- z 1)))
(+ y (* x (- z 1)))
(* x (- z 1))
(* x (- (+ z (/ y x)) 1))
(* x (- (+ z (/ y x)) 1))
(* x (- (+ z (/ y x)) 1))
(* -1 (* x (+ 1 (* -1 z))))
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(- (* x z) x)
(- (+ y (* x z)) x)
(- (+ y (* x z)) x)
(- (+ y (* x z)) x)
y
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
y
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
y
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
(* x z)
(* z (+ x (/ y z)))
(* z (+ x (/ y z)))
(* z (+ x (/ y z)))
(* x z)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
y
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
(* x z)
(* x (+ z (/ y x)))
(* x (+ z (/ y x)))
(* x (+ z (/ y x)))
(* x z)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(* x z)
(+ y (* x z))
(+ y (* x z))
(+ y (* x z))
y
(* y (+ 1 (/ (* x z) y)))
(* y (+ 1 (/ (* x z) y)))
(* y (+ 1 (/ (* x z) y)))
y
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))

Outputs
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- 1 (/ 1 z)))
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (/ 1 z) 1)))
(-.f64 x (/.f64 x z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (- (+ (* -1 (/ y (* x z))) (/ 1 z)) 1)))
(+.f64 x (/.f64 (-.f64 y x) z))
(- x (/ x z))
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (+ x (* -1 (/ x z))) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- y x) z)
(/.f64 (-.f64 y x) z)
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (+ y (* x z)) x) z)
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
x
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(+ (* x (- 1 (/ 1 z))) (/ y z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (* x (- z 1)) z)
(-.f64 x (/.f64 x z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* x (- (+ 1 (/ y (* x z))) (/ 1 z)))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (/ (* x (+ 1 (* -1 z))) z))
(-.f64 x (/.f64 x z))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* x (+ -1 (+ (* -1 (/ y (* x z))) (/ 1 z)))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ (- (* x z) x) z)
(-.f64 x (/.f64 x z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(- (+ x (/ y z)) (/ x z))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* y (- (+ (/ 1 z) (/ x y)) (/ x (* y z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(/ y z)
(/.f64 y z)
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(* -1 (* y (- (* -1 (/ (- x (/ x z)) y)) (/ 1 z))))
(+.f64 x (/.f64 (-.f64 y x) z))
(- y x)
(-.f64 y x)
(- (+ y (* x z)) x)
(-.f64 (fma.f64 z x y) x)
(- (+ y (* x z)) x)
(-.f64 (fma.f64 z x y) x)
(- (+ y (* x z)) x)
(-.f64 (fma.f64 z x y) x)
(* x z)
(*.f64 z x)
(* z (- (+ x (/ y z)) (/ x z)))
(-.f64 (fma.f64 z x y) x)
(* z (- (+ x (/ y z)) (/ x z)))
(-.f64 (fma.f64 z x y) x)
(* z (- (+ x (/ y z)) (/ x z)))
(-.f64 (fma.f64 z x y) x)
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(-.f64 (fma.f64 z x y) x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(-.f64 (fma.f64 z x y) x)
(* -1 (* z (+ (* -1 x) (* -1 (/ (- y x) z)))))
(-.f64 (fma.f64 z x y) x)
y
(+ y (* x (- z 1)))
(-.f64 (fma.f64 z x y) x)
(+ y (* x (- z 1)))
(-.f64 (fma.f64 z x y) x)
(+ y (* x (- z 1)))
(-.f64 (fma.f64 z x y) x)
(* x (- z 1))
(-.f64 (*.f64 z x) x)
(* x (- (+ z (/ y x)) 1))
(-.f64 (fma.f64 z x y) x)
(* x (- (+ z (/ y x)) 1))
(-.f64 (fma.f64 z x y) x)
(* x (- (+ z (/ y x)) 1))
(-.f64 (fma.f64 z x y) x)
(* -1 (* x (+ 1 (* -1 z))))
(-.f64 (*.f64 z x) x)
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(-.f64 (fma.f64 z x y) x)
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(-.f64 (fma.f64 z x y) x)
(* -1 (* x (+ 1 (+ (* -1 z) (* -1 (/ y x))))))
(-.f64 (fma.f64 z x y) x)
(- (* x z) x)
(-.f64 (*.f64 z x) x)
(- (+ y (* x z)) x)
(-.f64 (fma.f64 z x y) x)
(- (+ y (* x z)) x)
(-.f64 (fma.f64 z x y) x)
(- (+ y (* x z)) x)
(-.f64 (fma.f64 z x y) x)
y
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(-.f64 (fma.f64 z x y) x)
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(-.f64 (fma.f64 z x y) x)
(* y (- (+ 1 (/ (* x z) y)) (/ x y)))
(-.f64 (fma.f64 z x y) x)
y
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(-.f64 (fma.f64 z x y) x)
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(-.f64 (fma.f64 z x y) x)
(* -1 (* y (- (* -1 (/ (- (* x z) x) y)) 1)))
(-.f64 (fma.f64 z x y) x)
y
(+ y (* x z))
(fma.f64 z x y)
(+ y (* x z))
(fma.f64 z x y)
(+ y (* x z))
(fma.f64 z x y)
(* x z)
(*.f64 z x)
(* z (+ x (/ y z)))
(fma.f64 z x y)
(* z (+ x (/ y z)))
(fma.f64 z x y)
(* z (+ x (/ y z)))
(fma.f64 z x y)
(* x z)
(*.f64 z x)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 z x y)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 z x y)
(* -1 (* z (+ (* -1 x) (* -1 (/ y z)))))
(fma.f64 z x y)
y
(+ y (* x z))
(fma.f64 z x y)
(+ y (* x z))
(fma.f64 z x y)
(+ y (* x z))
(fma.f64 z x y)
(* x z)
(*.f64 z x)
(* x (+ z (/ y x)))
(fma.f64 z x y)
(* x (+ z (/ y x)))
(fma.f64 z x y)
(* x (+ z (/ y x)))
(fma.f64 z x y)
(* x z)
(*.f64 z x)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 z x y)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 z x y)
(* -1 (* x (+ (* -1 z) (* -1 (/ y x)))))
(fma.f64 z x y)
(* x z)
(*.f64 z x)
(+ y (* x z))
(fma.f64 z x y)
(+ y (* x z))
(fma.f64 z x y)
(+ y (* x z))
(fma.f64 z x y)
y
(* y (+ 1 (/ (* x z) y)))
(fma.f64 z x y)
(* y (+ 1 (/ (* x z) y)))
(fma.f64 z x y)
(* y (+ 1 (/ (* x z) y)))
(fma.f64 z x y)
y
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 z x y)
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 z x y)
(* -1 (* y (- (* -1 (/ (* x z) y)) 1)))
(fma.f64 z x y)

rewrite316.0ms (5.7%)

Memory

-2.8MiB live, 308.9MiB allocated

Rules

6 462×	`lower-fma.f64`
6 462×	`lower-fma.f32`
5 244×	`lower-*.f32`
5 242×	`lower-*.f64`
4 682×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	54
0	16	54
1	83	54
2	709	54
0	8497	50

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 235

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x) z))
(/.f64 (-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x) z)
(-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x)
#s(approx (+ (* z x) y) (*.f64 z x))

Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (*.f64 x z)) x) z))
(+.f64 (/.f64 #s(approx (+ (* z x) y) (*.f64 x z)) z) (/.f64 (neg.f64 x) z))
(+.f64 (/.f64 #s(approx (+ (* z x) y) (.f64 x z)) z) (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) z)))
(+.f64 (/.f64 #s(approx (+ (* z x) y) (.f64 x z)) z) (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)))
(+.f64 (/.f64 (neg.f64 x) z) (/.f64 #s(approx (+ (* z x) y) (*.f64 x z)) z))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) z) (neg.f64 x)) (/.f64 #s(approx (+ ( z x) y) (*.f64 x z)) z))
(+.f64 (.f64 (/.f64 #s(approx (+ ( z x) y) (.f64 x z)) z) #s(literal 1 binary64)) (.f64 (/.f64 (neg.f64 x) z) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (/.f64 z (-.f64 #s(approx (+ ( z x) y) (*.f64 x z)) x))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(approx (+ (* z x) y) (*.f64 x z)) z) (/.f64 x z))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x #s(approx (+ (* z x) y) (*.f64 x z))) z))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (-.f64 x #s(approx (+ (* z x) y) (*.f64 x z))) z))
(-.f64 (/.f64 (/.f64 (.f64 #s(approx (+ ( z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z)))) (fma.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))))) z) (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (*.f64 x z))))) z))
(-.f64 (/.f64 (/.f64 (.f64 #s(approx (+ ( z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (+.f64 x #s(approx (+ ( z x) y) (.f64 x z)))) z) (/.f64 (/.f64 (.f64 x x) (+.f64 x #s(approx (+ (* z x) y) (*.f64 x z)))) z))
(-.f64 (/.f64 (.f64 #s(approx (+ ( z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z)))) (.f64 z (fma.f64 x (+.f64 x #s(approx (+ (* z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z)))))) (/.f64 (.f64 x (.f64 x x)) (.f64 z (fma.f64 x (+.f64 x #s(approx (+ (* z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (*.f64 x z)))))))
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(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(approx (+ (* z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z)))) (fma.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))))) (/.f64 (.f64 #s(approx (+ (* z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z)))) (fma.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z)))))) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(approx (+ (* z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))))))) (fma.f64 (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (/.f64 #s(approx (+ ( z x) y) (.f64 x z)) (fma.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (*.f64 x z)))))))
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(/.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (.f64 x (.f64 x x))) (fma.f64 #s(approx (+ ( z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (.f64 x (.f64 x (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z)))))) (fma.f64 #s(approx (+ ( z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (.f64 x (*.f64 x x))))
(/.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (.f64 x (.f64 x x))) (fma.f64 #s(approx (+ ( z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (.f64 x (.f64 x (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))))) (fma.f64 #s(approx (+ ( z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z)))) (.f64 (.f64 x x) (fma.f64 x x (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (*.f64 x z)))))))
(/.f64 (.f64 (.f64 (fma.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z)) (.f64 x x)) (.f64 (-.f64 #s(approx (+ ( z x) y) (.f64 x z)) x) (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))))) (fma.f64 #s(approx (+ ( z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z)) (.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ (* z x) y) (*.f64 x z)) x)) #s(literal -1 binary64))
(.f64 (-.f64 #s(approx (+ ( z x) y) (*.f64 x z)) x) #s(literal 1 binary64))
(.f64 (fma.f64 #s(approx (+ ( z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (.f64 x (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (*.f64 x z))))))
(.f64 (fma.f64 #s(approx (+ ( z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (.f64 x (.f64 x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ ( z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z)) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(approx (+ (* z x) y) (*.f64 x z)))))))
(.f64 (fma.f64 #s(approx (+ ( z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (.f64 x (.f64 x (neg.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(approx (+ (* z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (*.f64 x z))))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z)))) (/.f64 (-.f64 #s(approx (+ ( z x) y) (.f64 x z)) x) (fma.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (*.f64 x z))))))
(.f64 (fma.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z)))) (.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 x z)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (*.f64 x z)))))))
(.f64 #s(literal 1 binary64) (-.f64 #s(approx (+ ( z x) y) (*.f64 x z)) x))
(.f64 (.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 x z)) x) (+.f64 x #s(approx (+ ( z x) y) (.f64 x z)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (+ ( z x) y) (*.f64 x z)))))
(.f64 (.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 x z)) x) (+.f64 x #s(approx (+ ( z x) y) (.f64 x z)))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (+ (* z x) y) (*.f64 x z)))) #s(literal 1 binary64)))
(.f64 (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))) (/.f64 (-.f64 #s(approx (+ ( z x) y) (.f64 x z)) x) (+.f64 x #s(approx (+ ( z x) y) (*.f64 x z)))))
(.f64 (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))) (.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 x z)) x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (+ ( z x) y) (*.f64 x z))))))
(.f64 #s(literal -1 binary64) (-.f64 x #s(approx (+ ( z x) y) (*.f64 x z))))
(.f64 (neg.f64 (fma.f64 #s(approx (+ ( z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (.f64 x (.f64 x (neg.f64 x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (*.f64 x z)))))))
(.f64 (.f64 (+.f64 x #s(approx (+ (* z x) y) (.f64 x z))) (-.f64 x #s(approx (+ ( z x) y) (.f64 x z)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 x #s(approx (+ ( z x) y) (*.f64 x z))))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))))) (fma.f64 #s(approx (+ ( z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (.f64 x (*.f64 x (neg.f64 x)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(approx (+ ( z x) y) (.f64 x z)))) (.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 x z)) x) (+.f64 x #s(approx (+ ( z x) y) (*.f64 x z)))))
(.f64 (/.f64 (.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 x z)) x) (+.f64 x #s(approx (+ ( z x) y) (.f64 x z)))) (.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 x z)) x) (+.f64 x #s(approx (+ ( z x) y) (.f64 x z))))) (-.f64 #s(approx (+ ( z x) y) (*.f64 x z)) x))
(.f64 (/.f64 (fma.f64 #s(approx (+ ( z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (.f64 x (.f64 x (neg.f64 x)))) (fma.f64 #s(approx (+ ( z x) y) (.f64 x z)) (.f64 (.f64 #s(approx (+ ( z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))))) (.f64 (.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z)))) (.f64 (.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z)))) (.f64 x (+.f64 x #s(approx (+ (* z x) y) (.f64 x z)))))))) (fma.f64 #s(approx (+ ( z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z)))) (.f64 (.f64 x (+.f64 x #s(approx (+ ( z x) y) (.f64 x z)))) (-.f64 (.f64 x (+.f64 x #s(approx (+ (* z x) y) (.f64 x z)))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (*.f64 x z)))))))
(.f64 (/.f64 (fma.f64 #s(approx (+ ( z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (.f64 x (.f64 x (neg.f64 x)))) (.f64 (fma.f64 x (+.f64 x #s(approx (+ (* z x) y) (.f64 x z))) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z)))) (-.f64 (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (.f64 x (+.f64 x #s(approx (+ (* z x) y) (.f64 x z))))))) (-.f64 (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (.f64 x (+.f64 x #s(approx (+ (* z x) y) (*.f64 x z))))))
(.f64 (/.f64 (.f64 (-.f64 #s(approx (+ (* z x) y) (.f64 x z)) x) (+.f64 x #s(approx (+ ( z x) y) (.f64 x z)))) (fma.f64 #s(approx (+ ( z x) y) (.f64 x z)) (.f64 #s(approx (+ (* z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z))) (.f64 x (.f64 x x)))) (fma.f64 #s(approx (+ ( z x) y) (.f64 x z)) #s(approx (+ ( z x) y) (.f64 x z)) (.f64 x (-.f64 x #s(approx (+ (* z x) y) (*.f64 x z))))))
#s(approx (+ (* z x) y) (*.f64 x z))

eval54.0ms (1%)

Memory: 18.0MiB live, 104.9MiB allocated
Compiler: Compiled 9 685 to 633 computations (93.5% saved)

prune49.0ms (0.9%)

Memory

-28.0MiB live, 130.9MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	368	0	368
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	368	8	376

Accuracy

100.0%

Counts

376 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
✓	100.0%	(+.f64 x (/.f64 (-.f64 y x) z))
✓	77.6%	(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
✓	56.4%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x) z))
✓	60.3%	#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
✓	27.6%	#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
✓	38.4%	#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
✓	67.0%	#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Compiler

Compiled 142 to 63 computations (55.6% saved)

regimes16.0ms (0.3%)

Memory

18.2MiB live, 56.2MiB allocated

Counts

9 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
(+.f64 x (/.f64 (-.f64 y x) z))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 #s(approx (+ (* z x) y) (*.f64 z x)) x) z))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 (fma.f64 z x y) x) z))
(-.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))

Calls

4 calls:

5.0ms	y
4.0ms	(+.f64 x (/.f64 (-.f64 y x) z))
3.0ms	x
3.0ms	z

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`z`
100.0%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes11.0ms (0.2%)

Memory

-10.3MiB live, 29.3MiB allocated

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))

Outputs
(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
(+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))

Calls

4 calls:

3.0ms	y
3.0ms	z
2.0ms	x
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
91.2%	3	`x`
92.4%	3	`y`
99.1%	3	`z`
88.1%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes10.0ms (0.2%)

Memory

-11.2MiB live, 28.6MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))

Outputs
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Calls

4 calls:

2.0ms	z
2.0ms	x
2.0ms	y
2.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
73.1%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`
83.8%	3	`x`
82.9%	3	`y`
84.3%	3	`z`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes6.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))

Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Calls

3 calls:

2.0ms	x
2.0ms	y
2.0ms	z

Results

Accuracy	Segments	Branch
81.1%	3	`y`
81.1%	3	`x`
70.2%	3	`z`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes9.0ms (0.2%)

Memory

-21.0MiB live, 20.4MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))

Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))
#s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Calls

4 calls:

4.0ms	z
2.0ms	y
2.0ms	x
1.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
47.6%	3	`z`
44.5%	3	`(+.f64 x (/.f64 (-.f64 y x) z))`
51.4%	3	`x`
53.2%	3	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

regimes5.0ms (0.1%)

Memory

17.2MiB live, 17.2MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Outputs
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Calls

4 calls:

1.0ms	z
1.0ms	y
1.0ms	x
1.0ms	(+.f64 x (/.f64 (-.f64 y x) z))

Results

Accuracy	Segments	Branch
38.4%	1	`(+.f64 x (/.f64 (-.f64 y x) z))`
38.4%	1	`z`
38.4%	1	`x`
38.4%	1	`y`

Compiler

Compiled 22 to 15 computations (31.8% saved)

bsearch25.0ms (0.4%)

Memory

20.1MiB live, 59.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.3343290299983875e-14	1445.4692611671665
11.0ms	-19.961512782964604	-4.4847518969355765e-8

Samples

12.0ms

304×

valid

Compiler

Compiled 393 to 240 computations (38.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 2.0ms (33.4% of total)

ival-div: 2.0ms (33.4% of total)

ival-add: 1.0ms (16.7% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch18.0ms (0.3%)

Memory

-35.2MiB live, 43.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	2.0238477045246555e+35	1.4455026553866638e+38
7.0ms	-1.2031138656770927e+44	-4.201204977947263e+43

Samples

8.0ms

208×

valid

Compiler

Compiled 273 to 168 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sub: 1.0ms (27.4% of total)

ival-div: 1.0ms (27.4% of total)

ival-add: 1.0ms (27.4% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch24.0ms (0.4%)

Memory

8.3MiB live, 49.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.4029888657654852e+157	1.1698730810557822e+162
10.0ms	-2.6936501341537718e+126	-8.007434745274752e+120

Samples

13.0ms

288×

valid

Compiler

Compiled 337 to 210 computations (37.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 3.0ms (46.7% of total)

ival-div: 2.0ms (31.1% of total)

ival-add: 1.0ms (15.6% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.4%)

Memory

2.3MiB live, 41.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	1.327193397559249e-69	1.636609751411478e-64
9.0ms	-2.5349250723103546e+23	-1.0664352274547933e+20

Samples

12.0ms

272×

valid

Compiler

Compiled 319 to 199 computations (37.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (42.1% of total)

ival-sub: 1.0ms (21.1% of total)

ival-add: 1.0ms (21.1% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.1%)

Memory

19.4MiB live, 19.4MiB allocated

Algorithm

1×	egg-herbie

Rules

14×	`+-commutative_binary64`
10×	`sub-neg_binary64`
6×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	197
1	55	197
2	64	197
3	69	197
4	72	197
5	73	197

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))
(if (<=.f64 z #s(literal -46000000000000004850107871583597790658297856 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 224999999999999983719201705960669184 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 y #s(literal -499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 58999999999999999780337275335301872023709725406003004260057292677232859010283607813395216912604726613007113105552767720426657789353873643108443549175480582144 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (<=.f64 y #s(literal -135000000000000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 1942668892225729/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

Outputs
(+.f64 x (/.f64 (-.f64 y x) z))
(if (<=.f64 z #s(literal -1 binary64)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z))) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) (+.f64 x #s(approx (/ (- y x) z) (/.f64 y z)))))
(if (<=.f64 z #s(literal -46000000000000004850107871583597790658297856 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) (if (<=.f64 z #s(literal 224999999999999983719201705960669184 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 (-.f64 y x) z)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z)))))
(if (<=.f64 y #s(literal -499999999999999988854984865702064835028992148797460788696041661331245645444919943038933279420753815842378761035475675250688 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 58999999999999999780337275335301872023709725406003004260057292677232859010283607813395216912604726613007113105552767720426657789353873643108443549175480582144 binary64)) #s(approx (+ x (/ (- y x) z)) (-.f64 x (/.f64 x z))) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
(if (<=.f64 y #s(literal -135000000000000000000 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z)) (if (<=.f64 y #s(literal 1942668892225729/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (+ x (/ (- y x) z)) (/.f64 #s(approx (- y x) (neg.f64 x)) z)) #s(approx (+ x (/ (- y x) z)) (/.f64 y z))))
#s(approx (+ x (/ (- y x) z)) (/.f64 y z))

soundness821.0ms (14.9%)

Memory

-9.0MiB live, 270.7MiB allocated

Rules

6 368×	`lower-fma.f64`
6 368×	`lower-fma.f32`
6 342×	`lower-fma.f64`
6 342×	`lower-fma.f32`
2 518×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	88	1914
1	253	1872
2	662	1872
3	2112	1872
4	5087	1872
5	6901	1872
0	8022	1872
0	71	562
1	198	460
2	553	460
3	1579	460
4	3533	460
5	5023	460
6	6476	460
7	6764	460
8	6866	460
9	6866	460
0	8129	457

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 179 to 81 computations (54.7% saved)

preprocess40.0ms (0.7%)

Memory: 3.2MiB live, 78.9MiB allocated
Compiler: Compiled 240 to 84 computations (65% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze52.0ms (0.9%)

sample739.0ms (13.4%)

explain95.0ms (1.7%)

preprocess119.0ms (2.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify45.0ms (0.8%)

localize17.0ms (0.3%)

series8.0ms (0.1%)

simplify196.0ms (3.6%)

rewrite250.0ms (4.5%)

eval53.0ms (1%)

prune93.0ms (1.7%)

simplify57.0ms (1%)

localize47.0ms (0.9%)

series33.0ms (0.6%)

simplify169.0ms (3.1%)

rewrite260.0ms (4.7%)

eval153.0ms (2.8%)

prune178.0ms (3.2%)

simplify196.0ms (3.6%)

localize60.0ms (1.1%)

series11.0ms (0.2%)

simplify224.0ms (4.1%)

rewrite484.0ms (8.8%)

eval99.0ms (1.8%)

prune144.0ms (2.6%)

simplify59.0ms (1.1%)

localize31.0ms (0.6%)

series5.0ms (0.1%)

simplify198.0ms (3.6%)

rewrite316.0ms (5.7%)

eval54.0ms (1%)

prune49.0ms (0.9%)

regimes16.0ms (0.3%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes6.0ms (0.1%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch25.0ms (0.4%)

bsearch18.0ms (0.3%)

bsearch24.0ms (0.4%)

bsearch22.0ms (0.4%)

simplify8.0ms (0.1%)

soundness821.0ms (14.9%)

preprocess40.0ms (0.7%)

end0.0ms (0%)

Profiling